Reciprocals of Quadratic Functions presented by Harry Wu by

Reciprocals of Quadratic Functions

wbh060107 — 2023-10-02 01:01:39 UTC

wbh060107 — 2023-10-02 01:03:17 UTC

wbh060107 — 2023-10-02 01:04:59 UTC

If a quadratic function has two zeros, the graph of the reciprocal will have three parts. (Divided by the two vertical asymtotes)

wbh060107 — 2023-10-02 01:07:27 UTC

-> The middle part will reach a maximum or minimum point
-> This point will be equidistant from the two vertical asymtotes
-> Equidistant-same distance apart.

How to graph?

wbh060107 — 2023-10-02 01:09:28 UTC

1. Find the vertical and horizontal asymptotes
2. Determine the behaviour of the function near the asymptotes
3. Find the x and y intercepts
4. Find the maximum or minimum point

wbh060107 — 2023-10-02 01:12:34 UTC

E.g. 1

wbh060107 — 2023-10-02 01:13:32 UTC

Make a summary table with the headings shown for each graph.

Q&A

wbh060107 — 2023-10-02 01:21:53 UTC

When x<-2, the sign of f(x) is negative, and the sign of the slope is negative too, the change in slope will be decreasing.

When -2
When x=0, the sign of f(x) is positive, and the sign of the slope is 0, the change in slope will be N/A.

When 0
When x>2, the sign of f(x) is negative, but the sign of the slope is positive, the change in slope will be decreasing.

E.g. 2

wbh060107 — 2023-10-02 01:25:57 UTC

recognise a reciprocal graphWhich is the correct equation for the graph?

wbh060107 — 2023-10-02 01:26:12 UTC

Options

wbh060107 — 2023-10-02 01:28:41 UTC

wbh060107 — 2023-10-02 01:29:50 UTC

wbh060107 — 2023-10-02 01:30:14 UTC